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Simplifying 56v2 + 17vd + -3d2 = 0 Reorder the terms: 17dv + -3d2 + 56v2 = 0 Solving 17dv + -3d2 + 56v2 = 0 Solving for variable 'd'. Factor a trinomial. (-3d + -7v)(d + -8v) = 0Subproblem 1
Set the factor '(-3d + -7v)' equal to zero and attempt to solve: Simplifying -3d + -7v = 0 Solving -3d + -7v = 0 Move all terms containing d to the left, all other terms to the right. Add '7v' to each side of the equation. -3d + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 -3d + 0 = 0 + 7v -3d = 0 + 7v Remove the zero: -3d = 7v Divide each side by '-3'. d = -2.333333333v Simplifying d = -2.333333333vSubproblem 2
Set the factor '(d + -8v)' equal to zero and attempt to solve: Simplifying d + -8v = 0 Solving d + -8v = 0 Move all terms containing d to the left, all other terms to the right. Add '8v' to each side of the equation. d + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 d + 0 = 0 + 8v d = 0 + 8v Remove the zero: d = 8v Simplifying d = 8vSolution
d = {-2.333333333v, 8v}
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